GCD of 292, 208, 371, 859 Calculator

Given Input numbers are 292, 208, 371, 859

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 292, 208, 371, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 208, 371, 859 is 1.

Therefore, GCD of numbers 292, 208, 371, 859 is 1

Given Input Data is 292, 208, 371, 859

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 371 is 7 x 53

Prime Factorization of 859 is 859

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(292, 208) = 15184

GCD(292, 208) = ( 292 x 208 ) / 15184

GCD(292, 208) = 60736 / 15184

GCD(292, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 371

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 371) = 1484

GCD(4, 371) = ( 4 x 371 ) / 1484

GCD(4, 371) = 1484 / 1484

GCD(4, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 292, 208, 371, 859 is 1

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1. What is the GCD of 292, 208, 371, 859?

GCD of 292, 208, 371, 859 is 1

2. Where do I get the detailed procedure to find GCD of 292, 208, 371, 859?

You can find a detailed procedure to find GCD of 292, 208, 371, 859 on our page.

3. How to find GCD of 292, 208, 371, 859 on a calculator?

You can find the GCD of 292, 208, 371, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.